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Popular >

integral of 3ln(x)+3

Solution

\int 3 ln (x) + 3 d x

Solution

3 x ln (x) + C

Solution steps

\int 3 ln (x) + 3 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 ln (x) d x + \int 3 d x

\int 3 ln (x) d x = 3 (x ln (x) - x)

\int 3 d x = 3 x

= 3 (x ln (x) - x) + 3 x

Simplify

3 (x ln (x) - x) + 3 x : 3 x ln (x)

= 3 x ln (x)

Add a constant to the solution

= 3 x ln (x) + C

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Frequently Asked Questions (FAQ)

What is the integral of 3ln(x)+3 ?
The integral of 3ln(x)+3 is 3xln(x)+C